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Finding the Third Proportional to 702,010 and 1,516,097

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Solution

The third proportional to 702,010 and 1,516,097 is: 3,274,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,010 : 1,516,097 = 1,516,097 : x
  2. Step 2: Convert to fraction form
    702,010/1,516,097 = 1,516,097/x
  3. Step 3: Cross multiply
    702,010x = 1,516,097 × 1,516,097
  4. Step 4: Simplify right side
    702,010x = 2,298,550,113,409
  5. Step 5: Solve for x
    x = 2,298,550,113,409/702,010
  6. Step 6: Final answer
    x = 3,274,241.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.